Remove mixture from heat and allow to cool slightly. Transfer to a blender, add coconut milk and lime juice and blend until smooth (alternately, you can use an immersion blender in the pot). Adjust salt as desired. Return to pot and heat over low heat until warmed through.

To make the garnish, mix cilantro, apple, lime juice, sea salt and black pepper together in a small bowl. Ladle soup into bowls and divide garnish among bowls.